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Finding the Fourth Proportional to 518.65, 774.17 and 457.12

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Solution

The fourth proportional to 518.65, 774.17 and 457.12 is: 682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.65 : 774.17 = 457.12 : x
  2. Step 2: Convert to fraction form
    518.65/774.17 = 457.12/x
  3. Step 3: Cross multiply
    518.65x = 774.17 × 457.12
  4. Step 4: Simplify right side
    518.65x = 353,888.59
  5. Step 5: Solve for x
    x = 353,888.59/518.65
  6. Step 6: Final answer
    x = 682.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.